On Pólya–Friedman random walks
On Pólya–Friedman random walks
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关于 Pólya–Friedman 随机游走
DOI：
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发表时间：
2008
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影响因子：
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通讯作者：
T. Huillet
中科院分区：
文献类型：
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作者：
T. Huillet
波利亚进程是在传染蔓延的背景下出现的一个瓮式计划。它表现出不稳定的持久性效应。弗里德曼瓮过程是波利亚过程的对偶过程，具有反持续稳定效应。它出现在一个安全运动的问题。一个Pólya-Friedman瓮过程与调谐持久性参数外推后两个极端过程进行了研究。该研究包括Pólya-Friedman比例过程和人口间隙随机游走的扩散近似。前者的结构是群体遗传学中出现的广义Wright-Fisher扩散。后者的相关结构在持久性参数的临界值处呈现出反常的特征。
The Pólya process is an urn scheme arising in the context of contagion spreading. It exhibits unstable persistence effects. The Friedman urn process is dual to the Pólya one with antipersistent stabilizing effects. It appears in a safety campaign problem. A Pólya–Friedman urn process is investigated with a tuning persistence parameter extrapolating the latter two extreme processes. The study includes the diffusion approximations of both the Pólya–Friedman proportion process and the population gap random walk. The structure of the former is a generalized Wright–Fisher diffusion appearing in population genetics. The correlation structure of the latter presents an anomalous character at a critical value of the persistence parameter.